22101439968 has 288 divisors, whose sum is σ = 69252255072. Its totient is φ = 6657638400.

The previous prime is 22101439967. The next prime is 22101440017. The reversal of 22101439968 is 86993410122.

22101439968 is a `hidden beast` number, since 22 + 101 + 439 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101439967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12841348 + ... + 12843068.

It is an arithmetic number, because the mean of its divisors is an integer number (240459219).

Almost surely, 2^22101439968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101439968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34626127536).

22101439968 is an abundant number, since it is smaller than the sum of its proper divisors (47150815104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22101439968 is a wasteful number, since it uses less digits than its factorization.

22101439968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 22101439968 in words is "twenty-two billion, one hundred one million, four hundred thirty-nine thousand, nine hundred sixty-eight".